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103211230221 = 321122712973541
BaseRepresentation
bin110000000011111011…
…1100110010000001101
3100212101222010201222100
41200013313212100031
53142334033331341
6115225314505313
710312445660511
oct1400767462015
9325358121870
10103211230221
113a854059980
1218005295239
13996abb0a78
144dd1730141
152a411053b6
hex1807de640d

103211230221 has 48 divisors (see below), whose sum is σ = 163524449088. Its totient is φ = 62211110400.

The previous prime is 103211230219. The next prime is 103211230253. The reversal of 103211230221 is 122032112301.

103211230221 is a `hidden beast` number, since 1 + 0 + 3 + 211 + 230 + 221 = 666.

It is not a de Polignac number, because 103211230221 - 21 = 103211230219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103211230194 and 103211230203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211230211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29145711 + ... + 29149251.

It is an arithmetic number, because the mean of its divisors is an integer number (3406759356).

Almost surely, 2103211230221 is an apocalyptic number.

103211230221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103211230221 is a deficient number, since it is larger than the sum of its proper divisors (60313218867).

103211230221 is a wasteful number, since it uses less digits than its factorization.

103211230221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103211230221 its reverse (122032112301), we get a palindrome (225243342522).

The spelling of 103211230221 in words is "one hundred three billion, two hundred eleven million, two hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 227 681 1297 2043 2497 3541 3891 7491 10623 11673 14267 22473 31869 38951 42801 116853 128403 294419 350559 803807 883257 2411421 2649771 3238609 4592677 7234263 8841877 9715827 13778031 26525631 29147481 41334093 50519447 79576893 151558341 454675023 1042537679 3127613037 9382839111 11467914469 34403743407 103211230221